On the homogenization of the Poisson equation in partially perforated domains with arbitrary density of cavities and mixed type conditions on their boundary
Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni, Série 9, Tome 7 (1996) no. 3, pp. 129-146
Cet article a éte moissonné depuis la source Biblioteca Digitale Italiana di Matematica
In this paper we study the behavior of solutions of the boundary value problem for the Poisson equation in a partially perforated domain with arbitrary density of cavities and mixed type conditions on their boundary. The corresponding spectral problem is also considered. A short communication of similar results can be found in [1].
@article{RLIN_1996_9_7_3_a1,
author = {Oleinik, Olga A. and Shaposhnikova, Tatiana A.},
title = {On the homogenization of the {Poisson} equation in partially perforated domains with arbitrary density of cavities and mixed type conditions on their boundary},
journal = {Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni},
pages = {129--146},
year = {1996},
volume = {Ser. 9, 7},
number = {3},
zbl = {0878.35011},
mrnumber = {MR1454408},
language = {en},
url = {http://geodesic.mathdoc.fr/item/RLIN_1996_9_7_3_a1/}
}
TY - JOUR AU - Oleinik, Olga A. AU - Shaposhnikova, Tatiana A. TI - On the homogenization of the Poisson equation in partially perforated domains with arbitrary density of cavities and mixed type conditions on their boundary JO - Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni PY - 1996 SP - 129 EP - 146 VL - 7 IS - 3 UR - http://geodesic.mathdoc.fr/item/RLIN_1996_9_7_3_a1/ LA - en ID - RLIN_1996_9_7_3_a1 ER -
%0 Journal Article %A Oleinik, Olga A. %A Shaposhnikova, Tatiana A. %T On the homogenization of the Poisson equation in partially perforated domains with arbitrary density of cavities and mixed type conditions on their boundary %J Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni %D 1996 %P 129-146 %V 7 %N 3 %U http://geodesic.mathdoc.fr/item/RLIN_1996_9_7_3_a1/ %G en %F RLIN_1996_9_7_3_a1
Oleinik, Olga A.; Shaposhnikova, Tatiana A. On the homogenization of the Poisson equation in partially perforated domains with arbitrary density of cavities and mixed type conditions on their boundary. Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni, Série 9, Tome 7 (1996) no. 3, pp. 129-146. http://geodesic.mathdoc.fr/item/RLIN_1996_9_7_3_a1/